On a uniform analogue of paracompact spaces
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this work we introduce and study uniformly paracompact spaces. In particular, the characterizations of uniformly paracompact spaces by using Hausdorff compact extensions and mappings are obtained. Definition 1. A uniform space (X, U) is called uniformly paracompact if every finitely additive open cover of X has a ?-locally finite uniform refinement. Theorem 1. If (X, U) is a uniform paracompact space, then the topological space (X, ?U ) is paracompact. Conversely, if (X, ? ) is paracompact, then the uniform space (X, UX), where UX is the universal uniformity, is uniformly paracompact.
Açıklama
Anahtar Kelimeler
Uniform paracompactness, Finitely additive open covering, ?-locally finite uniform covering
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Kanetov, B. ve Baidzhuranova, A. (2019). On a uniform analogue of paracompact spaces. International Conference of Mathematical Sciences (ICMS 2019). s.15.
